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Mixed Hodge Structures is written by Chris A.M. Peters and published by Springer Science & Business Media. It's available with International Standard Book Number or ISBN identification 3540770178 (ISBN 10) and 9783540770176 (ISBN 13).
This is comprehensive basic monograph on mixed Hodge structures. Building up from basic Hodge theory the book explains Delingne's mixed Hodge theory in a detailed fashion. Then both Hain's and Morgan's approaches to mixed Hodge theory related to homotopy theory are sketched. Next comes the relative theory, and then the all encompassing theory of mixed Hodge modules. The book is interlaced with chapters containing applications. Three large appendices complete the book.